Important tip(s) picking out new home door locks

As we were signing our paperwork for our house last Thursday our lovely real estate agent reminded us that it is important to change all the locks on house.  It was also mentioned that the previous owner was still in the area and not happy about their housebeing foreclosed upon (which I am not sure who would be- I feel horrible for them).  Then our notary told us a story how a family didn't change their locks when they moved into their house.  One night some random drunken guy was in their living room.  Apparently it was a brother in law of the previous family (who still had a key) and had not realized they had moved.

So, Rob and I head to Home Depot on our quest to pick out locks.  We figured this would be an easy task...  Were we wrong.  The first trip, we realized we didn't know exactly what types we needed, so we went back home and drew pictures of each of our lock styles. We then picked out all of our locks and asked if we could have them re-keyed to the same key.  Well since we had picked out 3 different name brands, we had to go back to drawing board...  To have the same key for all locks you also have to have the brand.  So we went back to the locks and reselected our choices.  We purchased the locks and they had them re-keyed in about 30 minutes (if you pick out Smart Key version for all your locks, it is much faster).

After you have hurt your pocket book with the purchase of new locks, the true fun begins...  A sneak preview of the things we ran into, Can you tell what is wrong with this lock?